Least Common Multiple of 1032 and 1033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1032 and 1033 the smallest integer that is 1066056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1032 and 1033 is 1066056.

LCM(1032,1033) = 1066056

LCM of 1032 and 1033

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1032 and 1033

LCM of 1032 and 1033 is 1066056

Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1033. First we will calculate the prime factors of 1032 and 1033.

Prime Factorization of 1032


2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 1032 are 2, 3,43. Prime factorization of 1032 in exponential form is:

1032 = 23×31×431

Prime Factorization of 1033


1033 1033
1

Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:

1033 = 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 1032 and 1033.

LCM(1032,1033) = 23×31×431×10331
LCM(1032,1033) = 1066056

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032

Factors of 1033

List of positive integer factors of 1033 that divides 1033 without a remainder.

1, 1033

Least Common Multiple of 1032 and 1033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1032 and 1033, than apply into the LCM equation.

GCF(1032,1033) = 1
LCM(1032,1033) = ( 1032 × 1033) / 1
LCM(1032,1033) = 1066056 / 1
LCM(1032,1033) = 1066056

Properties of LCM 1032 and 1033

(i) The LCM of 1033 and 1032 is associative

LCM of 1032 and 1033 = LCM of 1033 and 1032

Related Least Common Multiples of 1032

Related Least Common Multiples of 1033

Frequently Asked Questions on LCM of 1032 and 1033

1. What is the LCM of 1032 and 1033?

Answer: LCM of 1032 and 1033 is 1066056.

2. What are the Factors of 1032?

Answer: Factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032. There are 16 integers that are factors of 1032. The greatest factor of 1032 is 1032.

3. What are the Factors of 1033?

Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.

4. How to Find the LCM of 1032 and 1033?

Answer:

Least Common Multiple of 1032 and 1033 = 1066056

Step 1: Find the prime factorization of 1032

1032 = 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 1033

1033 = 1033

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1066056 = 2 x 2 x 2 x 3 x 43 x 1033

Step 4: Therefore, the least common multiple of 1032 and 1033 is 1066056.